65082132544 has 189 divisors, whose sum is σ = 154407370509. Its totient is φ = 27184734720.

The previous prime is 65082132487. The next prime is 65082132589. The reversal of 65082132544 is 44523128056.

The square root of 65082132544 is 255112.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9627534400 + 55454598144 = 98120^2 + 235488^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 65082132497 and 65082132506.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 291848017 + ... + 291848239.

Almost surely, 2^65082132544 is an apocalyptic number.

65082132544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

65082132544 is the 255112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65082132544

65082132544 is an abundant number, since it is smaller than the sum of its proper divisors (89325237965).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65082132544 is a wasteful number, since it uses less digits than its factorization.

65082132544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 65082132544 in words is "sixty-five billion, eighty-two million, one hundred thirty-two thousand, five hundred forty-four".